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Finding the Fourth Proportional to 114,758.44, 172,098.96 and 43,664.20

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Solution

The fourth proportional to 114,758.44, 172,098.96 and 43,664.20 is: 65,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,758.44 : 172,098.96 = 43,664.20 : x
  2. Step 2: Convert to fraction form
    114,758.44/172,098.96 = 43,664.20/x
  3. Step 3: Cross multiply
    114,758.44x = 172,098.96 × 43,664.20
  4. Step 4: Simplify right side
    114,758.44x = 7,514,563,409.23
  5. Step 5: Solve for x
    x = 7,514,563,409.23/114,758.44
  6. Step 6: Final answer
    x = 65,481.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.